Quadratic Form - Equivalence of Forms

Equivalence of Forms

Every quadratic form q in n variables over a field of characteristic not equal to 2 is equivalent to a diagonal form

Such a diagonal form is often denoted by .

Classification of all quadratic forms up to equivalence can thus be reduced to the case of diagonal forms.

Read more about this topic:  Quadratic Form

Famous quotes containing the word forms:

    “The mind can make
    Substance, and people planets of its own
    With beings brighter than have been, and give
    A breath to forms which can outlive all flesh.”
    —George Gordon Noel Byron (1788–1824)